Answer:
The height of ball when it is at maximum height is 12 unit
Step-by-step explanation:
Given as :
A ball is thrown by child to height y
And y as a function x is y = [tex]-\frac{1}{12}x^{2}+2x+4[/tex]
So, for maximum value of height ,
[tex]\frac{\partial y}{\partial x}[/tex] = 0
Or , [tex]\frac{\partial (-\frac{1}{12}x^{2}+2x+4)}{\partial x}[/tex] = 0
Or, [tex]-\frac{1}{12}(2x)+2[/tex] = 0
Or, [tex]\frac{1}{12}(2x)[/tex] = 2
or, x = 12
Hence The height of ball when it is at maximum height is 12 unit Answer
